using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using V = Science.Mathematics.VectorCalculus;

namespace VectorCalculus5Ed.Chapter3.Section3
{
    public class Example10
    {
        public Example10()
		{
		}
		private string result;
		public string Result
		{
			get{return result;}
		}
        public void Compute()
        {
            Science.Mathematics.Function.ToLastType<double[], double> f
                = new Science.Mathematics.Function.ToLastType<double[], double>(func);
            double[] at = { 1.0/2.0, 1.0/2.0 };
            double[] h = { 0.01, 0.03 };
            V.Hessian obj = new V.Hessian(f, at, h);
            obj.Compute();
            result += obj.Result.ToString() + "\r\n";
            result += obj.Matrix.ToString();
            result += func(at).ToString() + "\r\n";
            double t = Math.PI/4.0;
            at[0] = Math.Sin(t);
            at[1] = Math.Cos(t);
            result += func(at).ToString() + "\r\n";
            t = 5.0 * Math.PI / 4.0;
            at[0] = Math.Sin(t);
            at[1] = Math.Cos(t);
            result += func(at).ToString() + "\r\n";
        }
        private double func(double[] x)
        {
            return x[0] * x[0] + x[1] * x[1] - x[0] - x[1] + 1.0;
        }
    }
}
/*
0.000999999999988329
1.99999999997666     0     
0     1.99999999997666     

0.5
0.585786437626905
3.41421356237309
*/